Re: division by zero {infinities}
- From: "Dave L. Renfro" <renfr1dl@xxxxxxxxx>
- Date: 7 May 2006 13:27:42 -0700
WG wrote (in part):
In pure math A-A=0 of course, but we do not live in
a pure math world, we live in a quantum world where
heisenburgs uncertainty principle [HUP] comes into play.
In our real world all quantities are measured quantities
and have units associated with them. Because of HUP any
measurement has a degree of uncertainty and can never
be known with complete accuracy at some level. Take for
example a measurement of distance on a line graph; 1 meter
- 1 meter = 0 correct??? Wrong. In quantum mechanics one
can never know on the line graph where the meter starts
closer than one Plank length [1.6160 x 10-35 m]. One can
never know where that 1 meter measurement ends to within
1 Plank length. Subtraction results in the same conundrum.
The answer 1M-1M can never be less than the unknown we
started with i.e. [1 Plank length]. This argument applies
to all of measurement since there is a Plank time, Plank
mass and a Plank value for every measurement one can do.
What if I wanted to subtract two identical quantum wave
functions? And anyway, why would I want the fundamental
rules of mathematics to be tied to a particular physical
model of the universe? It's hard for me to see how anyone
would think this is desirable for further work in either
mathematics or physics.
Dave L. Renfro
.
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